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200213032131 = 32771107418321
BaseRepresentation
bin1011101001110110100…
…0000110110011000011
3201010210012010211122100
42322131220012303003
511240014014012011
6231550540041443
720315315456640
oct2723550066303
9633705124570
10200213032131
1177a01045412
1232976b33283
1315b594ba1a8
1499944d6dc7
15531c004d56
hex2e9da06cc3

200213032131 has 48 divisors (see below), whose sum is σ = 338298674688. Its totient is φ = 111741638400.

The previous prime is 200213032127. The next prime is 200213032139. The reversal of 200213032131 is 131230312002.

200213032131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 200213032131 - 22 = 200213032127 is a prime.

It is a super-2 number, since 2×2002130321312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200213032139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269451 + ... + 687771.

It is an arithmetic number, because the mean of its divisors is an integer number (7047889056).

Almost surely, 2200213032131 is an apocalyptic number.

200213032131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

200213032131 is a deficient number, since it is larger than the sum of its proper divisors (138085642557).

200213032131 is a wasteful number, since it uses less digits than its factorization.

200213032131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418512 (or 418509 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 200213032131 its reverse (131230312002), we get a palindrome (331443344133).

The spelling of 200213032131 in words is "two hundred billion, two hundred thirteen million, thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 63 71 107 213 321 497 639 749 963 1491 2247 4473 6741 7597 22791 53179 68373 159537 418321 478611 1254963 2928247 3764889 8784741 26354223 29700791 44760347 89102373 134281041 207905537 267307119 313322429 402843123 623716611 939967287 1871149833 2819901861 3177984637 9533953911 22245892459 28601861733 66737677377 200213032131